To solve this problem, we need to set up a equation based on the information provided in the question.
If we let x represent the number of left-handed students, then, according to the problem, the number of right-handed students is 9 times the number of left-handed students. Therefore, we can represent the total number of students in terms of x - the number of left-handed students. Summing up the number of right-handed students and the number of left-handed students, we get the total number of students: x (number of left-handed) plus 9x (number of right-handed) equals the total number of students (30). Therefore, the equation that represents this situation is:
x + 9x = 30
By simplifying this equation, we get:
10x = 30
To isolate x, we divide both sides of the equation by 10:
x = 30/10
This gives us that x equals 3.
This implies that there are 3 left-handed students.
To find the number of right-handed students, we need to multiply the number of left-handed students (3) by 9 (as given in the problem), so:
right-handed students = 9 * 3
This implies that there are 27 right-handed students.
So, in conclusion, there are 3 left-handed students and 27 right-handed students in the class.